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Simplifying (-1(x + -4)(x + -4)) = 0 Reorder the terms: (-1(-4 + x)(x + -4)) = 0 Reorder the terms: (-1(-4 + x)(-4 + x)) = 0 Multiply (-4 + x) * (-4 + x) (-1(-4(-4 + x) + x(-4 + x))) = 0 (-1((-4 * -4 + x * -4) + x(-4 + x))) = 0 (-1((16 + -4x) + x(-4 + x))) = 0 (-1(16 + -4x + (-4 * x + x * x))) = 0 (-1(16 + -4x + (-4x + x2))) = 0 Combine like terms: -4x + -4x = -8x (-1(16 + -8x + x2)) = 0 ((16 * -1 + -8x * -1 + x2 * -1)) = 0 ((-16 + 8x + -1x2)) = 0 (-16 + 8x + -1x2) = 0 Remove parenthesis around (-16 + 8x + -1x2) -16 + 8x + -1x2 = 0 Solving -16 + 8x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + x)(4 + -1x) = 0Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {4, 4}
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